Work

Internal Diffusion-Limited aggregation with uniform starting points

Year: 2017

Type: preprint

Abstract: We study internal diffusion-limited aggregation with random starting points on Z^d. In this model, each new particle starts from a vertex chosen uniformly at random on the existing aggregate. We prove that the limiting shape of the aggregate is a Euclidean ball.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1707.03241

Authors: Benjamini, Itai, Duminil-Copin, Hugo, Kozma, Gady, Lucas, Cyrille

Institutions: Weizmann Institute of Science, University of Geneva, Laboratoire de Probabilités, Statistique et Modélisation

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

OpenAlex ID: W2736168584

Cites: 22

Cited by: 4

Related to: 10